260

Answers
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105
What are some examples of colorful language in serious mathematics papers? (2)
4
Awfully sophisticated proof for simple facts
55
Which mathematicians have influenced you the most?
19
Thinking and Explaining
22
Propositional Logic, First-Order Logic, and Higher-Order Logics
15
What’s your favorite equation, formula, identity or inequality?
43
How many orders of infinity are there?
28
What is the definition of “canonical” ?
23
Most ‘unintuitive’ application of the Axiom of Choice?
3
What are the most elegant proofs that you have learned from MO?
72
Proof that pi is transcendental that doesn’t use the infinitude of primes
3
Strong induction without a base case
23
Reductio ad absurdum or the contrapositive?
21
What are some mathematical concepts that were (pretty much) created from scratch and do not owe a debt to previous work?
3
Are there any books that take a ‘theorems as problems’ approach?
43
What’s a magical theorem in logic? (3)
52
What is the high-concept explanation on why real numbers are useful in number theory?
3
Which graphs are Cayley graphs?
66
explicit big linearly independent sets
0
Propositional logic and first order logic textbook
13
Why should algebraic objects have naturally associated topological spaces? (Formerly: What is a topological space?)
10
Pi1-sentence independent of ZF, ZF+Con(ZF), ZF+Con(ZF)+Con(ZF+Con(ZF)), etc.?
32
“Transitivity” of the Stone-Cech compactification
12
In set theories where Continuum Hypothesis is false, what are the new sets?
17
Is “all categorical reasoning formally contradictory”?
20
Recent claim that inaccessibles are inconsistent with ZF
7
Cardinalities larger than the continuum in areas besides set theory
16
Applications of infinite Ramsey’s Theorem (on N)?
17
Which topological spaces admit a nonstandard metric?
10
Has decidability got something to do with primes?
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